Question

When a rubber -band is stretched by a distance x,it exerts a restoring force of magnitude $F=ax+b{x}^2$ where a and b are constants. the work done is stretching the unstretched rubber band by L is :

• A. $\frac{a{L}^2}{2}+\frac{b{L}^3}{3}$
• B. $\frac{1}{2}\left(\begin{array}{c}\frac{a{L}^2}{2}+\frac{b{L}^3}{3}\end{array}\right)$
• C. $a{L}^2+b{L}^3$
• D. $\frac{1}{2}(a{L}^2+b{L}^3)$

Answer 1

The correct option is A $\frac{a{L}^2}{2}+\frac{b{L}^3}{3}$